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196823959920 = 243257127331929
BaseRepresentation
bin1011011101001110011…
…1110100100101110000
3200211001000000010120100
42313103213310211300
511211043413204140
6230230352312400
720135324024640
oct2672347644560
9624030003510
10196823959920
1176521aa3295
123218bb42700
131573931c313
149752372520
1551be70a530
hex2dd39f4970

196823959920 has 480 divisors, whose sum is σ = 764499640320. Its totient is φ = 44451348480.

The previous prime is 196823959919. The next prime is 196823959921. The reversal of 196823959920 is 29959328691.

196823959920 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 2 + 39 + 599 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (196823959919) and next prime (196823959921).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196823959921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211866016 + ... + 211866944.

It is an arithmetic number, because the mean of its divisors is an integer number (1592707584).

Almost surely, 2196823959920 is an apocalyptic number.

196823959920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196823959920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382249820160).

196823959920 is an abundant number, since it is smaller than the sum of its proper divisors (567675680400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

196823959920 is a wasteful number, since it uses less digits than its factorization.

196823959920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 196823959920 in words is "one hundred ninety-six billion, eight hundred twenty-three million, nine hundred fifty-nine thousand, nine hundred twenty".